The lengths of two sides of a right triangle are 24 meters and 25 meters. Determine the two possible measures for the third side? Possible side length , possible side length Write answer in form numbersqrt(number) or sqrt(number) or number

2 Answers
May 8, 2018

7 or sqrt{1201}

Explanation:

The other side is either the hypotenuse or one of the perpendicular sides.

c^2 = a^2 + b^2

As hypotenuse, we're given a,b, and solve for c.

c^2 = 24^2 + 25^2 = 1201

c = sqrt{1201}

As a side, we're given the hypotenuse and the other side:

25 ^2 = 24^2 + b^2

b^2 = 25^2 - 24^2 = (25+24)(25 - 24) = 49

b = 7

A Pythagorean Triple: 7^2 + 24^2 = 25^2

May 8, 2018

possible third sides are 7 & sqrt(1201)

Explanation:

by using Pythagoras theorem,(if 25 is hypotenuse.)
sqrt(25^2-24^2)
=sqrt(625-576)
=sqrt(49)
=7

OR
(if unknown side is hypotenuse.)
sqrt(25^2+24^2)
=sqrt(625+576)
=sqrt(1201)